What is the Least Common Multiple of 14729 and 14741?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 14729 and 14741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14729 and 14741, than apply into the LCM equation.

GCF(14729,14741) = 1
LCM(14729,14741) = ( 14729 × 14741) / 1
LCM(14729,14741) = 217120189 / 1
LCM(14729,14741) = 217120189

Least Common Multiple (LCM) of 14729 and 14741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14729 and 14741. First we will calculate the prime factors of 14729 and 14741.

Prime Factorization of 14729

Prime Factorization of 14741

Now multiplying the highest exponent prime factors to calculate the LCM of 14729 and 14741.

LCM(14729,14741) = 11¹ × 13¹ × 103¹ × 14741¹
LCM(14729,14741) = 217120189